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OpenStudy (snowcrystal):
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OpenStudy (snowcrystal):
Factor
x^2 + 17x + 72
ganeshie8 (ganeshie8):
Find two numbers such that :
they add up to 17
they multiply to 72
OpenStudy (snowcrystal):
ummmmmm 8 and 9?
OpenStudy (abb0t):
Yes.
OpenStudy (abb0t):
So, you have: (x\(^2\)+\(\sf \color{red}{8x)+(9x}\)+72)
Now, factor out the common number and group.
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OpenStudy (snowcrystal):
how do i do that?
OpenStudy (anonymous):
(- 17)² - 4 * 1 * 72 = 289 - 288 = 1 x1 = (17 - 1) / 2 = 8 x2 = (17 + 1) / 2 = 9 <=> x² - 17x + 72 = (x - 8) * (x - 9) => (x - 8) * (x - 9) = 0 <=> x = 8 or x = 9 <= roots
OpenStudy (snowcrystal):
Huh??? umm thats a lot of numbers and symbols...
OpenStudy (anonymous):
that's the equation and answer...
OpenStudy (snowcrystal):
thats confuzing to me.... but umm thanks
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OpenStudy (abb0t):
I grouped it for you already, @SnowCrystal
notice i even put the parenthesis. Now, factor.
OpenStudy (anonymous):
the whole answer is (X+9)(x+8)
OpenStudy (snowcrystal):
oh i feel dumb
OpenStudy (anonymous):
i medaled you abb0t you were really helpful
OpenStudy (snowcrystal):
thanks guys for ur help
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